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Capital Budgeting Decisions

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The Net Present Value Method Net present value analysis emphasizes cash flows and not accounting net income. The reason is that accounting net income is based on accruals that ignore the timing of cash flows into and out of an organization.

Recovery of the Original Investment Depreciation is not deducted in computing the present value of a project because . . . • It is not a current cash outflow. • Discounted cash flow methods automatically provide for a return of the original investment.

Recovery of the Original Investment Carver Hospital is considering the purchase of an attachment for its X-ray machine. No investments are to be made unless they have an annual return of at least 10%.Will we be allowed to invest in the attachment?

Recovery of the Original Investment This implies that the cash inflows are sufficient to recover the $3,170 initial investment (therefore depreciation is unnecessary) and to provide exactly a 10% return on the investment.

Two Simplifying Assumptions Two simplifying assumptions are usually made in net present value analysis: All cash flows other than the initial investment occur at the end of periods. All cash flows generated by an investment project are immediately reinvested at a rate of return equal to the discount rate.

Choosing a Discount Rate • The firm’scost of capitalis usually regarded as the minimum required rate of return. • The cost of capital is the average rate of return the company must pay to its long-term creditors and stockholders for the use of their funds.

The Net Present Value Method • At the end of five years the working capital will be released and may be used elsewhere by Lester. • Lester Company uses a discount rate of 10%. Should the contract be accepted?

Quick Check  Denny Associates has been offered a four-year contract to supply the computing requirements for a local bank. • The working capital would be released at the end of the contract. • Denny Associates requires a 14% return.

Quick Check  What is the net present value of the contract with the local bank? a. $150,000 b. $ 28,230 c. $ 92,340 d. $132,916

Quick Check  What is the net present value of the contract with the local bank? a. $150,000 b. $ 28,230 c. $ 92,340 d. $132,916

Learning Objective 2 Evaluate the acceptability of an investment project using the internal rate of return method.

Internal Rate of Return Method • The internal rate of return is the rate of returnpromised by an investment project over its useful life. It is computed by finding the discount rate that will cause the net present value of a project to be zero. • It works very well if a project’s cash flows are identical every year. If the annual cash flows are not identical, a trial and error process must be used to find the internal rate of return.

Internal Rate of Return Method General decision rule . . . When using the internal rate of return, the cost of capital acts as a hurdle rate that a project must clear for acceptance.

Internal Rate of Return Method • Decker Company can purchase a new machine at a cost of $104,320 that will save $20,000 per year in cash operating costs. • The machine has a 10-year life.

PV factor for theinternal rate of return Investment required Annual net cash flows = $104, 320 $20,000 = 5.216 Internal Rate of Return Method Future cash flows are the same every year in this example, so we can calculate the internal rate of return as follows:

Internal Rate of Return Method Using the present value of an annuity of $1 table . . . Find the 10-period row, move across until you find the factor 5.216. Look at the top of the column and you find a rate of 14%.

Internal Rate of Return Method • Decker Company can purchase a new machine at a cost of $104,320 that will save $20,000 per year in cash operating costs. • The machine has a 10-year life. The internal rate of return on this project is 14%. If the internal rate of return is equal to or greater than the company’s required rate of return, the project is acceptable.

Quick Check  The expected annual net cash inflow from a project is $22,000 over the next 5 years. The required investment now in the project is $79,310. What is the internal rate of return on the project? a. 10% b. 12% c. 14% d. Cannot be determined

Quick Check  The expected annual net cash inflow from a project is $22,000 over the next 5 years. The required investment now in the project is $79,310. What is the internal rate of return on the project? a. 10% b. 12% c. 14% d. Cannot be determined $79,310/$22,000 = 3.605, which is the present value factor for an annuity over five years when the interest rate is 12%.

The Total-Cost Approach If we install the new washer, the investment will yield a positive net present value of $83,202.

The Total-Cost Approach If White remodels the existing washer . . . Let’s look at the present valueof this second alternative.

The Total-Cost Approach If we remodel the existing washer, we will produce a positive net present value of $56,405.

The Total-Cost Approach Both projects yield a positive net present value. However, investing in the new washer will produce a higher net present value than remodeling the old washer.

The Incremental-Cost Approach Under the incremental-cost approach, only those cash flows that differ between the two alternatives are considered. Let’s look at an analysis of the White Company decision using the incremental-cost approach.

Consider the following alternative projects. Each project would last for five years. Project AProject B Initial investment $80,000 $60,000 Annual net cash inflows 20,000 16,000 Salvage value 10,000 8,000 The company uses a discount rate of 14% to evaluate projects. Which of the following statements is true? a. NPV of Project A > NPV of Project B by $5,230 b. NPV of Project B > NPV of Project A by $5,230 c. NPV of Project A > NPV of Project B by $2,000 d. NPV of Project B > NPV of Project A by $2,000 Quick Check 

Consider the following alternative projects. Each project would last for five years. Project AProject B Initial investment $80,000 $60,000 Annual net cash inflows 20,000 16,000 Salvage value 10,000 8,000 The company uses a discount rate of 14% to evaluate projects. Which of the following statements is true? a. NPV of Project A > NPV of Project B by $5,230 b. NPV of Project B > NPV of Project A by $5,230 c. NPV of Project A > NPV of Project B by $2,000 d. NPV of Project B > NPV of Project A by $2,000 Quick Check 